线性增长曲线模型中的子组检测与通用线性混合模型 (GLMM) 树
Marjolein Fokkema1, Achim Zeileis2
1Unit of Methodology and Statistics, Institute of Psychology, Leiden University, Leiden, The Netherlands. m.fokkema@fsw.leidenuniv.nl.
Behavior research methods
|May 29, 2024
概括
一般化的线性混合效应模型 (GLMM) 树在纵向数据中有效地识别出具有明显增长轨迹的子组. 这种扩展方法为分析增长曲线模型提供了更高的准确性和计算效率.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 纵向数据分析 纵向数据分析
背景情况:
- 增长曲线模型分析了随时间的响应变量发展.
- 主体异质性是常见的,通常需要解释或预测.
- 对于复杂的生长模式,现有的方法可能缺乏准确性或效率.
研究的目的:
- 扩展通用线性混合效应模型 (GLMM) 树用于纵向数据分析.
- 在线性增长曲线模型中识别具有不同轨迹的子组.
- 评估扩展GLMM树的性能与其他分区方法相比.
主要方法:
- 将GLMM树从聚类横截面数据扩展到纵向数据.
- 对线性增长曲线模型的应用.
- 使用模拟和现实数据进行性能评估,与LongCART和结构方程模型 (SEM) 树相比较.
主要成果:
- 扩展的GLMM树显示出比原始算法和LongCART更高的准确性.
- 性能与结构方程模型 (SEM) 树相当.
- GLMM树处理离散和连续的时间序列,对随机效应规范具有稳定性,并提供更快的计算.
结论:
- 扩展的GLMM树提供了一个准确而有效的方法,用于在生长曲线分析中识别子组.
- 这种方法增强了对具有异质轨迹的纵向数据的分析.
- GLMM树为现有的分区方法提供了一个灵活且具有计算优势的替代方案.
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